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Finding the Third Proportional to 115,696 and 252,608

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Solution

The third proportional to 115,696 and 252,608 is: 551,538.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,696 : 252,608 = 252,608 : x
  2. Step 2: Convert to fraction form
    115,696/252,608 = 252,608/x
  3. Step 3: Cross multiply
    115,696x = 252,608 × 252,608
  4. Step 4: Simplify right side
    115,696x = 63,810,801,664
  5. Step 5: Solve for x
    x = 63,810,801,664/115,696
  6. Step 6: Final answer
    x = 551,538.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.